Maxwell's velocity distribution

Click For Summary

Homework Help Overview

The discussion revolves around understanding Maxwell's velocity distribution, particularly in the context of its derivation and representation in various document formats. Participants are attempting to clarify the presentation of the problem and the mathematical expressions involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are sharing different formats for presenting the problem, including images and document formats. There are discussions about the mathematical expressions related to the Maxwell-Boltzmann distribution, including questions about normalization and the interpretation of variables.

Discussion Status

Some participants have provided feedback on the clarity of the problem presentation and have engaged in discussing the mathematical derivation. There is an ongoing exploration of different approaches to derive the Maxwell-Boltzmann distribution, with no explicit consensus reached on the best method.

Contextual Notes

Participants are facing issues with file formats and accessibility of the problem statement, which may affect the clarity of the discussion. There are mentions of specific document formats that are preferred for sharing the problem.

Ben Hom Chen
Messages
8
Reaction score
0
I have some problem in the paragragh.
I save it as Word format.The link is below.
Thanks!

http://www.badongo.com/file/3337594"
 
Last edited by a moderator:
Physics news on Phys.org
I downloaded the file, which is a zip containing some xml docs I will not open. You won't get any help unless you show your problem and your work.
 
http://www.badongo.com/file/3383953

I upload my problem again.

And I found that when downloading it,badongo system set the default
file format as "zipped file",so some error would happen.

When saving file,we must change the saving format to"All files",then it can
be opened without error.

I hope my words can be understood><

Thx><
 
Last edited by a moderator:
Sorry, Ben, nothing has changed. I can't read the docx format. Try saving your document as PDF or .doc.
 
OK, I can see the pictures. THis is the standard undergraduate derivation of the MB distribution.

1. \vec{v}^2 = v_x^2 + v_y^2 + v_z^2

2. Hmm. Maybe this should be "f(\vec{v}^2) is the probability of finding a particle with squared velocity \vec{v}^2".

3. The function e^{ax} is not normalizable unless a < 0. By convention one gives 'a' a positive value and writes the equation with a negative sign.
 
Thx for your help.
At least I understand the third answer^^"
 
I never liked that derivation, which I have in the Pauli lectures in it's full clunkiness. In fact it's possible to derive the MB distribution using a much simpler heuristic argument and I'll be happy to dig it out and post it if you like.
 
Thank You,I want to check it out.

If it won't take you much time.
 
  • #10
Well, I found it but it's not simpler and relies on the central-limit theorem so maybe the standard derivation is the best after all.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
930
  • · Replies 7 ·
Replies
7
Views
3K
Replies
14
Views
2K
  • · Replies 26 ·
Replies
26
Views
3K
Replies
7
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 38 ·
2
Replies
38
Views
5K
  • · Replies 3 ·
Replies
3
Views
1K